What is the period of #f(t)=sin( t / 36 )+ cos( (t)/16 ) #?

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Nghi N. Share
Mar 15, 2017

Answer:

#288pi#

Explanation:

Period of #sin (t/36)# --> #36(2pi) = 72pi#
Period of #cos (t/16)# --> #16(2pi) = 32pi#
Find least common multiple of 32 and 72.
#32 --> 2^3*4 --> 32*9 = 288#
#72 --> 2^3*9 --> 72*4 = 288#
Period of f(t) --> #288pi#

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